Note on scaling arguments in the effective average action formalism

Note on scaling arguments in the effective average action formalism
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关于有效平均作用形式主义中的缩放参数的注意事项

DOI:
10.1103/physrevd.94.045001
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发表时间:
2016
期刊:
影响因子:
5
通讯作者:
C. Pagani
C. Pagani
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
C. Pagani

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有效平均作用(EAA)是一种尺度相关的有效作用,其中尺度$k$通过红外调节器引入。的$k-$依赖的EAA是由一个确切的流量方程,其中一个关联的边界条件在一个规模$\mu$。我们发现,$\mu-$依赖的EAA是由一个方程完全类似的Callan-Symanzik方程,它允许直接定义缩放量控制。特别注意的是,复合运营商引入沿着与新的来源。我们讨论了一些简单的解决方案的流动方程的复合运营商和评论其影响的情况下,当地的潜在的近似。
The effective average action (EAA) is a scale dependent effective action where a scale $k$ is introduced via an infrared regulator. The $k-$dependence of the EAA is governed by an exact flow equation to which one associates a boundary condition at a scale $\mu$. We show that the $\mu-$dependence of the EAA is controlled by an equation fully analogous to the Callan-Symanzik equation which allows to define scaling quantities straightforwardly. Particular attention is paid to composite operators which are introduced along with new sources. We discuss some simple solutions to the flow equation for composite operators and comment their implications in the case of a local potential approximation.
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DOI: 10.1007/jhep10(2014)042
发表时间: 2014
影响因子: 5.4
作者:
Gliozzi F
通讯作者: Gliozzi F